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| Energy principle of ferroelectric ceramics and single domain mechanical model | |
Liu F(刘峰) ; Li HJ(李海军); Wang ZQ(王自强); Wang, TC (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China.
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| Source Publication | Acta Mechanica Sinica
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| 2007 | |
| Volume | 23Issue:5Pages:531-543 |
| ISSN | 0567-7718 |
| Abstract | Many physical experiments have shown that the domain switching in a ferroelectric material is a complicated evolution process of the domain wall with the variation of stress and electric field. According to this mechanism, the volume fraction of the domain switching is introduced in the constitutive law of ferroelectric ceramic and used to study the nonlinear constitutive behavior of ferroelectric body in this paper. The principle of stationary total energy is put forward in which the basic unknown quantities are the displacement u (i) , electric displacement D (i) and volume fraction rho (I) of the domain switching for the variant I. Mechanical field equation and a new domain switching criterion are obtained from the principle of stationary total energy. The domain switching criterion proposed in this paper is an expansion and development of the energy criterion. On the basis of the domain switching criterion, a set of linear algebraic equations for the volume fraction rho (I) of domain switching is obtained, in which the coefficients of the linear algebraic equations only contain the unknown strain and electric fields. Then a single domain mechanical model is proposed in this paper. The poled ferroelectric specimen is considered as a transversely isotropic single domain. By using the partial experimental results, the hardening relation between the driving force of domain switching and the volume fraction of domain switching can be calibrated. Then the electromechanical response can be calculated on the basis of the calibrated hardening relation. The results involve the electric butterfly shaped curves of axial strain versus axial electric field, the hysteresis loops of electric displacement versus electric filed and the evolution process of the domain switching in the ferroelectric specimens under uniaxial coupled stress and electric field loading. The present theoretic prediction agrees reasonably with the experimental results given by Lynch. |
| Keyword | Ferroelectric Ceramic Domain Switching The Volume Fraction Of Domain Switching Single Domain Mechanical Model Finite-element-analysis Thermodynamical Formulation Constitutive Relations Behavior Simulation Motion Plzt Law |
| DOI | 10.1007/s10409-007-0095-0 |
| Indexed By | SCI ; EI ; CSCD |
| Language | 英语 |
| WOS ID | WOS:000249804600008 |
| WOS Keyword | FINITE-ELEMENT-ANALYSIS ; THERMODYNAMICAL FORMULATION ; CONSTITUTIVE RELATIONS ; BEHAVIOR ; SIMULATION ; MOTION ; PLZT ; LAW |
| WOS Research Area | Engineering ; Mechanics |
| WOS Subject | Engineering, Mechanical ; Mechanics |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/33909 |
| Collection | 力学所知识产出(1956-2008) |
| Corresponding Author | Wang, TC (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China. |
| Recommended Citation GB/T 7714 | Liu F,Li HJ,Wang ZQ,et al. Energy principle of ferroelectric ceramics and single domain mechanical model[J]. Acta Mechanica Sinica,2007,23,5,:531-543. |
| APA | 刘峰,李海军,王自强,&Wang, TC .(2007).Energy principle of ferroelectric ceramics and single domain mechanical model.Acta Mechanica Sinica,23(5),531-543. |
| MLA | 刘峰,et al."Energy principle of ferroelectric ceramics and single domain mechanical model".Acta Mechanica Sinica 23.5(2007):531-543. |
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